- #1

Jow

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Problem 1: Prove that in the case where the line (L) is in ℝ2 and its equation has the general form ax+by=c, the distance from point B=(x[itex]_0{}[/itex],y[itex]_0{}[/itex]) to the line d(B,L) is given by the first formula.

Problem 2: Prove that, in general, the distance d(B, P) from the point B=(x[itex]_0{}[/itex],y[itex]_0{}[/itex],z[itex]_0{}[/itex]) to the plane whose general equation is ax+by+cz=d is given by the second formula.

**2. Formula 1: d(B,L)=[itex]\frac{\left|ax_0{}+by_0{}-c\right|}{\sqrt{a^2+b^2}}[/itex]**

Formula 2: d(B,L)=[itex]\frac{\left|ax_0{}+by_0{}+cz_0{}-d\right|}{\sqrt{a^2+b^2+c^2}}[/itex]

Formula 2: d(B,L)=[itex]\frac{\left|ax_0{}+by_0{}+cz_0{}-d\right|}{\sqrt{a^2+b^2+c^2}}[/itex]

**3. I don't even know where to begin with these.**